Jackson CEO Carlos Migoya previously announced plans to cut labor costs by $120 million through the use of two-week furloughs and the elimination of 240 positions. The union, which is currently negotiating a new contract with Jackson, has offered $36 million in cuts, according to the report.
If the two sides are unable to agree, they would enter magistrate hearings.
Health system officials have said drastic cuts are necessary as the system stands to have just 12 days cash-on-hand in December.